Abnormal sub-riemannian geodesics : Morse index and rigidity

A. A. Agrachev; A. V. Sarychev

Annales de l'I.H.P. Analyse non linéaire (1996)

  • Volume: 13, Issue: 6, page 635-690
  • ISSN: 0294-1449

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Agrachev, A. A., and Sarychev, A. V.. "Abnormal sub-riemannian geodesics : Morse index and rigidity." Annales de l'I.H.P. Analyse non linéaire 13.6 (1996): 635-690. <http://eudml.org/doc/78396>.

@article{Agrachev1996,
author = {Agrachev, A. A., Sarychev, A. V.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {abnormal extremum; variational problem; sub-Riemannian geodesics},
language = {eng},
number = {6},
pages = {635-690},
publisher = {Gauthier-Villars},
title = {Abnormal sub-riemannian geodesics : Morse index and rigidity},
url = {http://eudml.org/doc/78396},
volume = {13},
year = {1996},
}

TY - JOUR
AU - Agrachev, A. A.
AU - Sarychev, A. V.
TI - Abnormal sub-riemannian geodesics : Morse index and rigidity
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1996
PB - Gauthier-Villars
VL - 13
IS - 6
SP - 635
EP - 690
LA - eng
KW - abnormal extremum; variational problem; sub-Riemannian geodesics
UR - http://eudml.org/doc/78396
ER -

References

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Citations in EuDML Documents

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  1. Naceurdine Bensalem, Fernand Pelletier, Some geometrical properties of infinite-dimensional bilinear controlled systems
  2. Bernard Bonnard, Jean-Baptiste Caillau, Emmanuel Trélat, Second order optimality conditions in the smooth case and applications in optimal control
  3. Emmanuel Trélat, Asymptotics of accessibility sets along an abnormal trajectory
  4. B. Jakubczyk, W. Kryński, F. Pelletier, Characteristic vector fields of generic distributions of corank 2
  5. Emmanuel Trélat, Asymptotics of accessibility sets along an abnormal trajectory
  6. Andrei A. Grachev, Andrei V. Sarychev, Sub-riemannian metrics : minimality of abnormal geodesics versus subanalyticity
  7. Kanghai Tan, Xiaoping Yang, Subriemannian geodesics of Carnot groups of step 3
  8. Andrei Agrachev, Jean-Paul Gauthier, On the subanalyticity of Carnot–Caratheodory distances
  9. Andrei A. Agrachev, Andrei V. Sarychev, Sub-Riemannian Metrics: Minimality of Abnormal Geodesics versus Subanalyticity
  10. Ivan Kupka, Géométrie sous-riemannienne

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